What is the equation of the circle with center at the origin and radius 10?

What is the equation of the circle with center at the origin and radius 10?

Explanation: The equation of a circle with center (h,k) and radius r is given by (x−h)2+(y−k)2=r2 . For a circle centered at the origin, this becomes the more familiar equation x2+y2=r2 .

What is the equation of the circle with center at the origin and with a radius of 9?

So in this case since the centre is the origin, it implies that a=b=0 , and the radius r=9⇒r2=92=81 . Thus the equation reduces to x2+y2=81 .

What is the equation of the circle with center at the origin and a radius of 5 units?

x2+y2=5.

How do you find the x and y intercepts given the radius?

An x-intercept is where the graph touches or crosses the x-axis. A y-intercept is where the graph touches of crosses the y-axis. To find an x-intercept: Let y=0 and solve for x. To find an y-intercept: Let x=0 and solve for y.

How do you find the radius of a circle with X and Y?

The center-radius form of the circle equation is in the format (x – h)2 + (y – k)2 = r2, with the center being at the point (h, k) and the radius being “r”. This form of the equation is helpful, since you can easily find the center and the radius.

What is the equation for the circle with center 2 and r 3?

The standard form of the equation of a circle is. where (a ,b) are the coordinates of the centre and r, the radius. Substitute these values into the standard equation. ⇒(x+2)2+(y+3)2=9 is the circle’s equation.

How to write the center radius equation for a circle?

Step 1: Write the center-radius equation for the circle. ( x − 0) 2 + ( y − 0) 2 = 8 2 Sub. Step 2: Determine the x-coordinate associated with a y-coordinate of -3. Substitute -3 in for y and solve for x. x 2 + ( − 3) 2 = 64 Sub.

How to know if an equation is the equation of a circle?

How do we know if an equation is the equation of circle? If x and y are squared and the coefficient of x 2 and y 2 are same, then it is equation of circle. For example, 3x 2 +3y 2 = 12 is a circle’s equation.

Which is the standard form for the equation of a circle?

which is called the standard form for the equation of a circle. Equation of a Circle in General Form The general equation of any type of circle is represented by: x2 + y2 + 2gx + 2fy + c = 0, for all values of g, f and c.

How to calculate the distance of a circle?

The formula is derived from the distance formula where the distance between the center and every point on the circle is equal to the length of the radius. Fill in the values of h h and k k which represent the center of the circle.